L. Lorch and P. Szego, furthermore R. Wong and T. Lang have shown quite recently, in two connected papers on the positive zeros () of the Bessel function , that is an increasing function of the order in the range [see L. Lorch and P. Szego, Can. J. Math. 42, No. 5, 933-948 (1990; Zbl 0716.33003) and ibid. 43, No. 3, 628-651 (1991; Zbl 0731.33001)]. The present note aims to extend the result just mentioned to positive zeros of an expression of the form
as function of , where , , are certain real numbers subjected to suitable mild restrictions.